Pith Number

pith:XWXDIXII

pith:2018:XWXDIXII76XP7AXD6T632G4DVM

not attested not anchored not stored refs pending

Halving the bounds for the Markov, Chebyshev, and Chernoff Inequalities using smoothing

Mark Huber

arxiv:1803.06361 v1 · 2018-03-16 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWXDIXII76XP7AXD6T632G4DVM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:20:46.082853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdae345d08ffaeff82e3f4fdbd1b83ab293b7f8406d4be88acaa36c492976a56

Aliases

arxiv: 1803.06361 · arxiv_version: 1803.06361v1 · doi: 10.48550/arxiv.1803.06361 · pith_short_12: XWXDIXII76XP · pith_short_16: XWXDIXII76XP7AXD · pith_short_8: XWXDIXII

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XWXDIXII76XP7AXD6T632G4DVM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bdae345d08ffaeff82e3f4fdbd1b83ab293b7f8406d4be88acaa36c492976a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4033838914c0495b0fe737943af017a138dae32c1f1fede55d522827c9b9006a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-16T18:19:12Z",
    "title_canon_sha256": "ae6994097c1890773ccb8d70bd016ff30421f8e60680d5465a338b88e7f4ff28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06361",
    "kind": "arxiv",
    "version": 1
  }
}